How Many Packs to Pull Mew from HS—Triumphant

Mew chase methodology

This page answers exactly one question: how many HS—Triumphant booster packs does it take to pull Mew #97? The numbers below come from the same per-rarity pull-rate model the PackRip HS—Triumphant simulator runs on, mirrored from packGenerator.ts. TCGplayer pricing refreshes every build, so the buy-vs-rip verdict at the bottom reflects current market.

The math: ~1 in 72 per pack

Mew sits in the Prime rare-slot pool for HS—Triumphant. There are 8 Prime cards in the HS—Triumphant pool, and the Prime slot fires with probability 11.10% per pack. Since the slot is split evenly across the 8 cards in that tier, the per-pack chance of pulling this specific card is 1 in 72 — approximately 1 in 72.

Pulls are independent and identically distributed, so the number of packs until you hit Mew follows a geometric distribution with parameter p = 0.013875. The expected number of packs is 1/p — that's ~73 packs on average. But "average" hides huge variance: the median pull lands faster than the mean (~50 packs at 50% confidence), and a long unlucky tail can stretch the wait dramatically. The 95% confidence band — 215 packs — is where 95% of pull-runs finish; the remaining 5% take even longer.

Concretely: if 100 collectors each opened HS—Triumphant packs until they pulled Mew, roughly 50 of them would have it by pack 50, 95 of them would have it by pack 215, and a handful would still be chasing past that. Expected ≠ guaranteed; the geometric distribution is famously long-tailed on the right side.

Confidence bands — packs vs cumulative probability

Read this table as "what fraction of openers have pulled Mew by pack N?". A 25% band of 21 packs means a quarter of openers hit it inside that window; 99% means almost everyone has hit it by pack 330. The dollar column anchors the variance to real-world sealed-pack cost at $5/pack.

Cheaper to buy Mew as a single?

Buying Mew as a single (~$288.87) edges out pack-ripping on raw cost. Pack-rip expected value is ~$360 for this specific pull.

Pack-rip expected dollar cost for this specific card: ~$360 at $5 per HS—Triumphant pack. Compare to $288.87 for the single on TCGplayer (Unlimited / non-graded copy at current market). The single buy obviously delivers exactly this card; the pack-rip approach delivers Mew plus the remaining 9 cards in every pack along the way — which is why the EV calculator at /ev/hgss4 spreads the cost across the whole pack contents instead of pinning it to one card.

About Mew (HS—Triumphant)

Mew is a Prime card from HS—Triumphant, the 2010 Pokémon TCG expansion. HS-Triumphant (2010) holds the widest Prime run of the era at eight cards: Absol, Celebi, Electrode, Gengar, Machamp, Magnezone, Mew and Yanmega, numbered #91 to #98. Two LEGEND pairs follow — Darkrai & Cresselia (#99 and #100) and Palkia & Dialga (#101 and #102) — and Alph Lithograph #FOUR completes the four-set insert series. Only six Trainers appear in the whole 103-card list.

This specific card ranks as one of the top-3 most valuable pulls in HS—Triumphant by TCGplayer market value, which is part of why the chase math is what it is — high market value tends to track with rarity-tier depth, since lower pool sizes concentrate value into fewer cards. The complete top-25 HS—Triumphant ranking shows where Mew sits relative to the rest of the chase pool.

Pull odds in context

For reference, a "1 in 72" pull is roughly comparable to a moderate chase — you should expect to crack a couple of boxes. The variance is the killer: any one pack could be the one. The simulation on PackRip's HS—Triumphant opener uses the same exact RNG model, so you can stress-test the wait curve without spending real money.

Related chases

• Gengar — Prime, $449.49 market
• Darkrai & Cresselia LEGEND — LEGEND, $140.21 market
• All Mew printings across 19 sets
• All top-25 HS—Triumphant chases
• Complete the HS—Triumphant binder — full calculator

Open HS—Triumphant free

Rip HS—Triumphant packs free on PackRip's simulator with the same per-rarity pull rates this page is built from. The Hunt Pack mode boosts the Prime slot if you specifically want to optimise for Mew-tier pulls. Coin economy is virtual — no real money on the line.

Strategy: optimising the Mew chase

Every experienced HS—Triumphant hunter eventually picks one of three approaches for a specific chase card. The cheapest is the snipe: skip pack-ripping entirely, set a TCGplayer alert at or below the current $288.87 market, and wait for a motivated seller. This is the route most efficient-frontier collectors take when the chase is locked behind a deep rarity tier — and the math above shows why. The expected pack-rip cost ($360) is typically multiples of the single price, and the variance on that expectation is wide enough that a single bad streak can blow past the 95% confidence bound. The single buy is dollar-for-dollar cheaper and emotionally cheaper too — no more refreshing pack-pull videos at 3am.

The middle path is the box-rip-then-snipe: open a sealed booster box of HS—Triumphant (typically 36 packs for vintage sets), enjoy the experience, then if you didn't hit Mew in the box, buy the single for $288.87. A 36-pack box delivers a probability of 1 − (1 − p)³⁶ ≈ 39.5% of pulling Mew at least once, where p is the per-pack hit rate of 0.013875. So a sealed box gives you roughly a 40% chance of hitting this card "for free" alongside the rest of the box contents, plus the rip experience. If you miss, you backstop by buying the single — total worst-case cost is the box price plus the single. Most rational hobbyists end here.

The expensive path is pure-rip-to-pull: keep opening packs until Mew appears. The expected total cost is ~$360, but the 95th percentile pushes that to ~$1,075. Almost nobody who does this comes out ahead financially — but it produces the binder story, the YouTube content, and the cumulative pulls of the entire pack contents along the way. If your real goal is collecting all of HS—Triumphant, not just acquiring Mew, the pure-rip path has an internal logic the singles path doesn't.

Variance is the entire story

Here's a concrete illustration of how wild the geometric distribution gets at low p. Consider 10 hypothetical openers all chasing Mew from HS—Triumphant. Mathematically, you'd expect their results to cluster near the 73-pack expectation — but they won't. Roughly 5 will pull Mew within the first 50 packs and feel lucky. Roughly 3 will pull between 50 and 73 packs and feel "about average". And roughly 2 will be still pulling past pack 73, with one of them potentially stretching past the 95% bound of 215. The unlucky ones will swear the simulator is rigged, the rates are wrong, or that they have terrible RNG — but the math says exactly this distribution should happen every time. The geometric distribution has no memory: each pack is an independent draw, and a 100-pack dry streak does not increase the odds of the next pack hitting.

How Mew compares to the broader HS—Triumphant chase pool

Mew sits in the Prime tier of HS—Triumphant's rare-slot pool. 8 cards share this tier, and the tier itself fires roughly 11.10% of the time per pack. That means the per-pack chance of pulling any Prime card (not just Mew) is 11.10%, which makes the expected wait for any Prime card much shorter than the wait for this specific one. Pull-rate intuition: a single chase from a 6-card tier is 6× rarer than the tier itself. The deeper the pool, the longer the chase. This is also why "wide" sets with many chase cards in a single tier feel grindier per individual card despite the tier hit rate being identical — a thicker tier dilutes each card's specific share.

If your real goal is "any chase card from HS—Triumphant" rather than "Mew specifically", the math gets dramatically friendlier — the wait drops to ~10 packs on average for the tier as a whole. Most binder collectors approach it this way: chase the tier broadly across multiple sets, accept whatever pulls, and snipe the specific holes via TCGplayer later. Targeting one card from a thick tier is the most expensive way to play the chase, and Mew is no exception.